Existence of Solutions for Some Nonlinear Elliptic Equations in Musielak Spaces with Only the Log-Hölder Continuity Condition
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1466-z
Abstract: We study the existence of solutions for some nonlinear elliptic problems with $$L^1$$L1 data in Musielak spaces; we assume that the Musielak function satisfies only the log-Hölder continuity condition. read more here.
Keywords: solutions nonlinear; lder continuity; musielak spaces; nonlinear elliptic ... See more keywords
Hölder Continuity of the Integrated Density of States in the One-Dimensional Anderson Model
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-2927-5
Abstract: AbstractWe consider the one-dimensional random Schrödinger operator $$H_{\omega} = H_0 + \sigma V_{\omega},$$Hω=H0+σVω,where the potential V has i.i.d. entries with bounded support. We prove that the IDS is Hölder continuous with exponent $${1-c \sigma}$$1-cσ. This… read more here.
Keywords: lder continuity; density states; states one; integrated density ... See more keywords
Hölder Continuity of Homeomorphisms with Controlled Growth of Their Spherical Means
Sign Up to like & getrecommendations! Published in 2017 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-016-0632-6
Abstract: We continue the study of homeomorphisms preserving integrally controlled weighted p-module of the ring domains. It was established earlier that under appropriate growth condition for the spherical mean of the weight such mappings are locally… read more here.
Keywords: lder continuity; continuity homeomorphisms; controlled growth; growth ... See more keywords
Optimal Hölder Continuity and Hitting Probabilities for SPDEs with Rough Fractional Noises
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126125
Abstract: We investigate the optimal Hölder continuity and hitting probabilities for systems of stochastic heat equations and stochastic wave equations driven by an additive fractional Brownian sheet with temporal index 1/2 and spatial index H ≤… read more here.
Keywords: fractional brownian; hitting probabilities; lder continuity; optimal lder ... See more keywords
On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1466298
Abstract: In this paper, we first propose some kinds of the strong convexity (concavity) for vector functions. Then we apply these assumptions to establish sufficient conditions for the Hölder continuity of solution maps of the vector… read more here.
Keywords: lder continuity; solution maps; vector; continuity solution ... See more keywords
Quasiconformal mappings with controlled Laplacian and Hölder continuity
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4440
Abstract: Abstract. We prove that every K-quasiconformal mapping w of the unit ball B ⊂ R, n ≥ 2 onto a C-Jordan domain Ω is Hölder continuous with constant α = 2 − n p ,… read more here.
Keywords: controlled laplacian; lder continuity; mappings controlled; quasiconformal mappings ... See more keywords